Lectures in course MICRO-310(b): Signals and systems I (for SV)

Covers introductory lessons on signals and systems, signal processing, and practical applications like image compression and multimedia.

Covers the basics of signals and systems in communication, including modulation, medical imaging, Fourier analysis, and biological systems.

Explores distributions, linear systems, impulse response, convolution operators, and causal systems in signals and systems.

Covers preliminary concepts in signals and systems, including linear systems invariant in time and stability.

Explores characteristic modes, impulse responses, and system stability in signals and systems.

Explores time shift, reflection, response of a system, convolution, and differential equations in signals and systems.

Explores cross-correlation, signal detection, Hilbert spaces, orthogonal approximation, and image compression using DCT.

Explores signal approximation, orthogonal bases, Fourier series, correlation, and vector geometry.

Explores orthogonal sinusoids, Fourier coefficients, spectrum of signals, and complex Fourier series.

Covers the calculation of Fourier coefficients for periodic complex signals and the concept of a complete orthonormal system.

Explores symmetry relations, modulation, Fourier transform properties, and integration methods in signals and systems.

Explores the Fourier integral series, convergence, non-periodic signals, symmetry relations, and practical applications in signals & systems.

Explores Fourier transformation, sign function, Dirac pulse, series development, and periodic signal synthesis.

Covers the fundamentals of the Fourier transformation, including decreasing causal exponential signals and the Schwartz class.

Explores Fourier series, energy calculation, functional spaces, correlation spectra, and spectral density in signals and systems.

Explores periodic and non-periodic rectangular and triangular signals, along with 'b-spline' functions and their properties.

Explores signal reconstruction, Gibbs phenomenon, error evaluation, and frequency filtering.

Explores uncertainty relations in signals and systems, Gaussian impulses, and Gabor functions.

Explores ideal sampling, Fourier transformation, spectral repetition, and analog signal reconstruction.

Explores frequency response, ideal filters, and linear phase in signals & systems.